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101003032 = 23138311701
BaseRepresentation
bin1100000010100…
…10111100011000
321001001111010001
412001102330120
5201324044112
614004502344
72334340324
oct601227430
9231044101
10101003032
1152017089
12299aa9b4
1317c05210
14d5b2984
158d01c57
hex6052f18

101003032 has 32 divisors (see below), whose sum is σ = 206423280. Its totient is φ = 46051200.

The previous prime is 101003029. The next prime is 101003033. The reversal of 101003032 is 230300101.

It is a super-2 number, since 2×1010030322 = 20403224946386048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 14482.

Almost surely, 2101003032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103211640).

101003032 is an abundant number, since it is smaller than the sum of its proper divisors (105420248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101003032 is a wasteful number, since it uses less digits than its factorization.

101003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 101003032 is about 10050.0264676268. The cubic root of 101003032 is about 465.7056108172.

Adding to 101003032 its reverse (230300101), we get a palindrome (331303133).

The spelling of 101003032 in words is "one hundred one million, three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 4316 8632 11701 23402 46804 93608 152113 304226 608452 971183 1216904 1942366 3884732 7769464 12625379 25250758 50501516 101003032